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Artículo
On a singular incompressible porous media equation
(AIP Publishing, 2012-11)
This paper considers a family of active scalar equations with transport velocities which are more singular by a derivative of order β than the active scalar. We prove that the equations with 0 < β ≤ 2 are Lipschitz ill-posed ...
Artículo
Porous media: the Muskat problem in 3D
(Mathematical Sciences Publishers, 2013)
The Muskat problem involves filtration of two incompressible fluids throughout a porous medium. In this paper we shall discuss in 3-D the relevance of the RayleighTaylor condition, and the topology of the initial interface, ...
Artículo
A continuation method for weakly Kannan maps
(SpringerOpen, 2010)
The first continuation method for contractive maps in the setting of a metric space was given by Granas. Later, Frigon extended Granas theorem to the class of weakly contractive maps, and recently Agarwal and O’Regan have ...
Tesis Doctoral
Sobre la aproximación de puntos fijos
(1987)
"Construcción de un algoritmo para calcular los ceros de funciones f: cU implica cU enteras. Es un método directo basado en los siguientes conceptos: 1) Homotopiah. 2) Triangulaciones del dominio de definición de H. ...
Artículo
Invariant subspaces of parabolic self-maps in the Hardy space
(International Press, 2010-01)
It is shown that the lattice of invariant subspaces of the operator of multiplication by a cyclic element of a Banach algebra consists of the closed ideals of this algebra. As an application, with the help of some elements ...
Artículo
Funciones con derivadas sucesivas grandes y pequeñas por doquier
(Universitat de Barcelona, 1987)
In this paper we show that, given two double sequences of positive real numbers, α and β, the subset of all functions defined on an open real set which have big derivatives and small ones with respect to α and β, at every ...
Artículo
A Paley-Wiener theorem for Bergman spaces with application to invariant subspaces
(London Mathematical Society, 2007-06)
An analogue of the Paley–Wiener theorem is developed for weighted Bergman spaces of analytic functions in the upper half-plane. The result is applied to show that the invariant subspaces of the shift operator on the ...
Artículo
Ratchet effect on a relativistic particle driven by external forces
(Institute of Physics, 2011)
We study the ratchet effect of a damped relativistic particle driven by both asymmetric temporal bi-harmonic and time-periodic piecewise constant forces. This system can be formally solved for any external force, providing ...
Artículo
Asymptotic properties of generalized Laguerre orthogonal polynomials
(Elsevier, 2004-06)
In the present paper we deal with the polynomials L(α,M,N) n (x) orthogonal with respect to the Sobolev inner product (p, q) = 1 Γ(α+1) Z ∞ 0 p(x)q(x) x α e −x dx + M p(0)q(0) + N p 0 (0)q 0 (0), N,M ≥ 0, α > −1, firstly ...
Artículo
Weak compactness and fixed point property for affine mappings
(Elsevier, 2004-04-01)
It is shown that a closed convex bounded subset of a Banach space is weakly compact if and only if it has the generic fixed point property for continuous affine mappings. The class of continuous affine mappings can be ...